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2 years ago

Divide and round to the nearst tenth -5.945 divide 9.5

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

-0.63

Step-by-step explanation:

-5.945 / 9.5 = -0.625

since the number after the 2 is 5 or greater, we round it to the next number which is 3.

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Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was

nasty-shy [4]

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

$\frac{dQ}{dt}=\alpha.A.(T_{s}-T)$

This differential equation solved, gives the solution:

$T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}$

where

$T_{s}$ is temperature of the environment

$T_{0}$ is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

$27=22+(28-22)e^{-1k}$

$5=6e^{-k}$

$e^{-k}=\frac{5}{6}$

$ln(e^{-k})=ln(0.834)$

k = 0.1823

Using the parameter, find estimate time:

$28=22+(37-22)e^{-0.1823t}$

$6=15e^{-0.1823t}$

$ln(e^{-0.1823t})=ln(0.4)$

0.1823t = 0.9163

$t=\frac{0.9163}{0.1823}$

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

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3 years ago

If the probability of rain is 0.03 what is the probability of not rain

serious [3.7K]

0.97 because 1.00-.03=0.97

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4 years ago

Read 2 more answers

Which ordered pair (x, y) satisfies the inequality 5x - 3y < 4?

Vika [28.1K]

Answer:

I and II only

Step-by-step explanation:

plug in the x and y

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3 years ago

What is the equation of the line that passes through the points (15,9) and (-2,9)?

harkovskaia [24]

Slope Is 0 so y=9

....

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4 years ago

Mary earned $200 for doing some jobs for neighbors. She spent $31.66 at the mall and $48.18 at the convenience store. She put th

Y_Kistochka [10]

Subtract the amount she spent from the amount she earned:

200 - 31.66 - 48.18 = 120.16

The answer would be A.

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3 years ago